计算机辅助工程以弧长为参数的连续插值曲线的生成  

Generation of Continuous Interpolation Curve with Arc Length as its Parameter

作　　者：刘花丽[1] 郝艳莉[2] 

机构地区：[1]郑州文理专修学院,郑州450001 [2]河南职业技术学院,郑州450046

出　　处：《中州大学学报》2010年第5期118-120,共3页Journal of Zhongzhou University

摘　　要：通过在给定插值点处的曲率,从曲线曲率的线性插值角度出发,以弧长为参数,用插值方法构造曲线的线性曲率生成曲线。为了使曲线整体达到连续,在两点之间插入一个自由点,在该两点和自由点之间构造分段线性曲率,在给出满足插值的型值点和满足端点曲率的情况下,以弧长为参数找到一条适合条件的连续的几何样条曲线,并给出其求数值解的方法。With the linear interpolation of the curvature given at the interpolation points and the arc length as the parameter,linear curvature constructed by interpolation method generates the curve.An arbitrary point is inserted into any two points and the fraction linear curvature is constructed in each segment.With the arc length as the parameter and on the condition of the given values of the interpolation points and curvatures,a geometric spline curve with continuity is generated and the numerical solution is obtained.

关 键 词：曲率 弧长参数 插值 几何样条曲线 数值解 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]